Question

You buy a total of 25 burgers and tacos for $67.50. The burgers cost $3.50 each and the tacos cost $2.25 each. Find the number of burgers and tacos you bought.

Answer 1

Answer: you bought 9 burgers and 16 tacos

Step-by-step explanation:

Let x represent the number of burgers that you bought.

Let y represent the number of tacos that you bought.

You buy a total of 25 burgers and tacos. It means that

x + y = 25

The burgers cost $3.50 each and the tacos cost $2.25 each. The total cost of the burgers and tacos that you bought is $67.50. It means that

3.5x + 2.25y = 67.5- - - - - - - - - - - - 1

Substituting x = 25 - y into 1, it becomes

3.5(25 - y) + 2.25y = 67.5

87.5 - 3.5y + 2.25y = 67.5

- 3.5y + 2.25y = 67.5 - 87.5

- 1.25y = - 20

y = - 20/ - 1.25

y = 16

x = 25 - y = 25 - 16

x = 9